Answer: The answer is B) 11.25
Step-by-step explanation: I got it right
David and Terri drove a small motorboat down a river with the current. The rate the boat traveled in still water was r miles per hour, and the current’s average speed was c miles per hour. It took them 1.5 hours to travel 4 miles downstream. Which of the following equations can be used to represent this information?
please help the temperature in degrees fahrenheit can be estimated by counting the number of times a cricket chirps in one minute write an algebraic expression for the following written expression
the number of chirps divided by 4 added to 37
Describe the effect on the SURFACE AREA of multiplying the dimensions by 1/5.
I NEED HELP I WILL GIVE BRAINLEST!!!!!!!!!!!
What is 98765+009225=
8182÷k=1363.6666667
A- 9
B-2
C-6
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=-x^2. Be sure to include the transformations that occurred between tye parent function f(x) and its image g(x)
You have two exponential functions. One function has the formula g(x) = 5 x . The other function has the formula h(x) = 5-x . Which option below gives formula for k(x) = (g - h)(x)?
k(x) = 10x
k(x) = 5x + 5-x
k(x) = 5x - 5-x
k(x) = 2(5x)
g(x) = 5x
h(x) = 5 - x
k(x) = (g - h)(x)
k(x) = g(x) - h(x)
k(x) = 5x - (5 - x)
Hence, the correct option is k(x) = 5x - 5-x
What is the product of the two solutions from the quadratic formula?
Margie has a $50 budget to purchase a $45 pair of boots if there is an 8% sales tax rate then how much under budget will Marjorie be
For what value of p,-4 is a zero of the polynomial x square-2x-(2p+3)
perimeter with radius 14
Adam is making a rectangular frame. The frame is 24.2 feet long and 16.25 feet wide.
The formula for the area of a rectangle is A=bh.
What is the area of the frame?
Enter your answer as a decimal in the box.
(__ ft2
Factor completely; 100-9x^2
Answer:
(10 - 3x)(10 + 3x)
Explanation:
This type of question yields what is called a difference of squares, which is recognizable because of the subtraction (-) operation between the two terms of the binomial. When questions like this are seen, the formula for difference of squares can be implemented. This formula is:
(a² - b²) = (a - b)(a + b)
With this, we can square root both terms of the original binomial and plug our variables for a and b into the formula.
Let 100 = a², let 9x² = b²
√(100) = 10
√(9x²) = 3x
Those values are now a and b, respectively, so when we place them in their spots in the formula, the completed factoring is: (10 - 3x)(10 + 3x)
To check this answer for accuracy, we can use the FOIL method and combine like terms to see if it gives us the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing us which terms should be multiplied together so:
Firsts: 10(10) = 100
Outsides: 10(3x) = 30x
Insides: -3x(10) = -30x
Lasts: -3x(3x) = -9x²
We place them in the same equation and combine like terms:
100 + 30x - 30x - 9x²
100 + 0 - 9x²
100 - 9x²
We are back to our original equation so the answer of (10 - 3x)(10 + 3x) is accurate.
A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes. What is the new position of the submarine in relation to sea level? –1,260 + (–5)(12) = –1,260 + 60 = –1,200
The new position of the submarine in relation to sea level is -1,200 feet.
Your calculation is correct. To find the new position of the submarine in relation to sea level after descending at a rate of 5 feet per minute for 12 minutes, you can use the formula:
New position = Initial position - (Rate of descent * Time)
In this case:
New position = -1,260 feet - (5 feet/minute * 12 minutes)
= -1,260 feet - 60 feet
= -1,200 feet
So, the new position of the submarine in relation to sea level is -1,200 feet.
To know more about submarine:
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Can someone help with this please??
(2-9i)+(-2+7i) complex numbers simplify
[tex] (2-9i)+(-2+7i)=-2i [/tex]
Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.
Final answer:
When a transversal intersects parallel lines perpendicularly, all angles formed are right angles (90°). This is due to perpendicular lines creating right angles and the angles at the intersection points being equal in measure because of the corresponding angle postulate.
Explanation:
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90° because of the geometric properties of parallel lines and transversals. A transversal is a line that intersects two or more lines at distinct points. In the case of perpendicular transversals and parallel lines, the angles formed are called right angles.
If we consider two parallel lines, like railway tracks, they never meet and are always the same distance apart, maintaining a 180° straight line angle between them. A transversal that is perpendicular to these lines would intersect at points which lie along the x-axis if we consider the parallel lines to be along this axis. By the definition of perpendicular lines, the angles formed at the intersection points are 90°. As there are two intersection points on each parallel line, and due to the corresponding angle postulate, all four angles formed are equal in measure and hence are all right angles.
This can also be understood by considering vectors in physics, where if two vectors are perpendicular to each other, they form a right triangle, indicating a 90° angle between them. Knowing that parallel lines crossed by a perpendicular transversal produce angles of equal measure, and by the property that perpendicular lines form right angles, we can conclude that all angles formed in the described scenario are indeed 90°.
Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15. Yes; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional
The correct answer among all the choices is C) Yes; the corresponding sides are proportional. This is the correct answer because the corresponding sides have a similar relationship of 1:5. We can see this relationship when dividing 25 by 5 & dividing 15 by 3, since their both equal to 5, we know the figures are similar. I hope I answered this question to your satisfaction. Have a good day!
Answer:
Yes; the corresponding sides are proportional
Step-by-step explanation:
If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.
Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:
5/3 = 25/15
Cross multiply:
5(15) = 3(25)
75 = 75
We got a true statement, so the sides are proportional.
Find vertical and horizontal asymtope for (x^2+2x-48)/x+8
what is equivalent to
[tex]13 - \sqrt{ - 81} [/tex]
The equation y – 9 + 9 = –17 + 9 is an example of which property of equality?
A.Substitution Property of Equality
B.Addition Property of Equality
C.Reflexive Property of Equality
D. Symmetric Property of Equality
Answer:
addition property of equality
Step-by-step explanation:
The equation y – 9 + 9 = –17 + 9 is an example of which property
A.Substitution Property of Equality:
In this property we substitute some particular value for the variable.
B.Addition Property of Equality
This property states that when we add any number to one sides of the equation we do the same on the other side
y – 9 + 9 = –17 + 9
In the equation , 9 is added on both sides of the equation. So it is an example of addition property of equality
C.Reflexive Property of Equality
Reflexive property states that the number is equal to itself
D. Symmetric Property of Equality
It states that if a=b then b=a
what is the square root of 50 to the nearest tenth
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Answer:
The correct answer is 6.
Step-by-step explanation:
I just did this question as well and 6 was the correct answer. Hope this helped :)
John's dog weighted 7 pounds when we got him. The dog's weight tripled each year for two years. How many ounces does John's dog now weigh?
Data Set 1 has a mean of 84 and a MAD of 6. Data Set 2 has a mean of 78 and a MAD of 8. What can be concluded about the two distributions?
Select each correct answer.
A. The distributions are somewhat similar.
B. The means-to-MAD ratio is 1.
C. The means-to-MAD ratio is 0.75.
D. The distributions are similar.
Answer: The actual answers are: "The distributions are similar." & "The Means-to-MAD ratio is 0.75." I took the same test and got it right. I hope this helps anyone reading this. :D Thanks!
~H*****
Answers are C. The means-to-MAD ratio is 0.75. and D. The distributions are similar. hope it helps
The price for a parakeet at Lydia's Pet World is $9.99. If you buy a cage and birdseed, the price decreases to $4.25. About what is the percent decrease in price if you buy a cage and birdseed?
Math question, I appreciate ANY help! :D
which angle is coterminal with 153°
To find a coterminal angle with 153°, we can either add 360° to get 513° or subtract 360° to get -207°, both of which have the same terminal side as 153°.
To find an angle that is coterminal with 153°, we add or subtract multiples of 360° to the original angle. Adding 360° to 153° gives us 513° as one such coterminal angle. Subtracting 360° from 153° provides us with -207° as another coterminal angle. Both of these angles have the same terminal side position as 153° when plotted in standard position on a coordinate system.